Question

If a triangle has sides of 8,11, and 13. Is it a right triangle?

Answer 1

If a² + b² = c², then the triangle is right.

So we have (8)² + (11)²  ?  (13)²

(8)² is 64, (11)² is 121, and (13)² is 169.

So we have 64 + 121 ? 169

64 + 121 is 185 and we can see that 185 > 169.

This triangle would not be a right triangle.

In fact, it would be an acute triangle.

So no, it's not a right triangle.